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Finding the Third Proportional to 132,746 and 291,736

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Solution

The third proportional to 132,746 and 291,736 is: 641,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,746 : 291,736 = 291,736 : x
  2. Step 2: Convert to fraction form
    132,746/291,736 = 291,736/x
  3. Step 3: Cross multiply
    132,746x = 291,736 × 291,736
  4. Step 4: Simplify right side
    132,746x = 85,109,893,696
  5. Step 5: Solve for x
    x = 85,109,893,696/132,746
  6. Step 6: Final answer
    x = 641,148.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.